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2n阶自伴向量微分算子的谱是离散的充分条件

Sufficient Condition for the Discreteness of Spectrum of 2n-th Order Self-adjoint Vector Differential Operations
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摘要 把纯量微分算子谱的离散性的结论推广到向量微分算子情形,从而得到了这类微分算子的谱是离散的充分条件. The conclusion of the discreteness of spectrum of pure scalar differential operator is generalized to the case of vector differential operators,and the sufficient condition of discreteness of the spectrum of this kind of differential operators is obtained.
作者 钱志祥 QIAN Zhi-xiang(The Department of Basic Education,Guangdong Polytechnic College,Zhaoqing 526100,China)
出处 《数学的实践与认识》 北大核心 2018年第23期212-219,共8页 Mathematics in Practice and Theory
基金 广东省教育厅自然基金项目(2017KTSCX204) 广东理工学院科技项目(GKJ2016004)
关键词 自伴微分算子 向量微分算子 对称微分算子 本质谱 离散谱 self-adjoint differential operator vector differential operator symmetric differential operator essential spectrum discrete spectrum
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